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DEFORMING METRICS WITH POSITIVE CURVATURE BY A FULLY NONLINEAR FLOW

DEFORMING METRICS WITH POSITIVE CURVATURE BY A FULLY NONLINEAR FLOW
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摘要 By studying a fully nonlinear flow deforming conformal metrics on a compact and connected manifold, we prove the long time existence and the exponential convergence of the solutions of the flow for any initial metric g0 with the Schouten tensor Ag0 ∈ Γk. By studying a fully nonlinear flow deforming conformal metrics on a compact and connected manifold, we prove the long time existence and the exponential convergence of the solutions of the flow for any initial metric g0 with the Schouten tensor Ag0 ∈ Γk.
作者 岳赟 盛为民
机构地区 China Mobile Group Zhejiang Co. Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期159-171,共13页 数学物理学报（B辑英文版）
基金 Research supported by NSFC (10771189 and 10831008)
关键词 Fully nonlinear flow conformal metrics Schouten tensor Fully nonlinear flow conformal metrics Schouten tensor
分类号 O186.12 [理学—基础数学]
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参考文献16

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Acta Mathematica Scientia
2011年 第1期

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